1. David uses 1 tbsp of sugar for every 1.25 cups of water when he makes lemonade complete the table below by filling in the missing values

1. David Uses 1 Tbsp Of Sugar For Every 1.25 Cups Of Water When He Makes Lemonade Complete The Table

Answers

Answer 1

Answer:

Step-by-step explanation:

David uses 1 table spoon of sugar for every 1.25 cups of water to prepare lemonade.

Therefore, Number of table spoons of sugar required (S) ∝ Cups of water required (w)

⇒ S ∝ w

⇒ S = kw

⇒ k = [tex]\frac{S}{w}[/tex]

⇒ k = [tex]\frac{1}{1.25}[/tex] = 0.8

So the formula to calculate the amount of water will be,

S = 0.8w

⇒ w = [tex]\frac{S}{0.8}[/tex]

where k = proportionality constant

Now we can complete the table with the help of the formula.

Sugar (tbsp)                   Water (cups)

      1                                     1.25                                                                      

      7                                    8.75    

      3                                    3.75

      5                                    6.25


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n > -5

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What is the slope of 4x + 3y = −24?

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slope is 4/3x

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Step-by-step explanation:

4.2.32
Richard and Teo have a combined age of 41. Richard is 5 years older than twice Teo's age. How old are Richard and Teo?
Richard is years did, and Teo is years old.
Type whole numbers.)

Answers

Answer:

Step-by-step explanation:

Let R = Richard, T = Teo.

Richard and Teo have a combined age of 41. This means that if you add their ages together you get 41:

R + T = 41

We are also told Richard is 5 years older than twice Teo's age:

R = 2T + 5

You can substitute " R " into R + T = 41

R + T = 41

2T + 5 + T = 41

3T + 5 = 41

Subtract 5 from both sides

3T = 41 - 5

3T = 36

Divide both sides by 3 to find T.

T = 36/3 = 12

We know that R + T = 41, so

R = 41 - T

R = 41 - 12

R = 29

Answer:

Richard is 29 and Teo is 12

Step-by-step explanation:

let Teo's age be n then Richard is 2n + 5 ( 5 more than twice Teo's age )

Thus their combined ages are

n + 2n + 5 = 41 , that is

3n + 5 = 41 ( subtract 5 from both sides )

3n = 36 ( divide both sides by 3 )

n = 12

Then

Teo is 12 years old and Richard is 2(12) + 5 = 24 + 5 = 29 years old

Ok, I made a mistake on my last question, but this time I have the right one. Solve v, 5/v=2/7.25

Answers

Answer:

[tex]v=\frac{145}{8}[/tex]

Step-by-step explanation:

[tex]\frac{5}{v}=\frac{2}{7.25}[/tex]

[tex]\frac{5}{v}=\frac{2}{\frac{725}{100}}[/tex]

[tex]v=\frac{2}{\frac{5^2*29}{2^2*5^2}}[/tex]

[tex]v=\frac{145}{8}[/tex]

Look at the angle shown below.
V.
Estimate the measure of the angle.

Answers

how is anyone supposed to answer this question when you don’t shown the angle

A rectangle has an area of 2,340 sq ft and a width of 45 ft. What is its length ? What is the perimeter

Answers

Answer:

length is 52 ft

perimeter is 194

Step-by-step explanation:

2340/45 = 52

2(52+45) = 194

What is the equation of the line ? and how do i know ?

Answers

Y=Mx +c
M gradient so count how many squares per one line
C = y intercept (7.5) here it looks
Just sub in those

Answer:

The equation of the line is y=-16x+7

Step-by-step explanation:

I am not totally sure if that is what you meant by the equation of the line but that is my answer. I can change it if you are more specific.

Anyways, you need to find the slope because you already know the y-intercept, 7.

Slope=rise/run between two pretty points( A point that lines up on the grid)

So you must go from the bottom point and count how ever many are separating the two points. It turned out to be 16 and since the line is going down it is a negative. You then plug the numbers into the slope intercept form and that is your answer.

Think about the expression (x-8)(x+4)
a) For what values of x will this expression be
(b) Write this product as an equivalent trinomial. equal to zero? Show how you arrived at your answer.
Show that this trinomial is also equal to zero at the larger value of x from part (a).
This is not a multiple choice question. Please help if you know how to do it.

Answers

See attachment for math work and answer.

a) The expression will be zero when x = -4 or 8

b) The trinomial equivalent of the expression is x²  - 4x  -  32

c) The trinomial equals to zero when x = 8

The given expression is (x  - 8)(x  + 4)

a) For what value of x will the expression be equal to zero

(x  - 8)(x  + 4)  =  0

This can  be split into:

x  -  8   =   0

That is,  x  = 8

x  +  4  =  0

That is,  x = -4

The expression (x  - 8)(x  + 4) equals to zero when x = -4 or x = 8

b) Write this product as an equivalent trinomial.

A trinomial is a polynomial expression with three terms

Expand (x - 8)(x + 4)

x² + 4x  - 8x - 32

x²  - 4x  -  32

c) Show that this trinomial is also equal to zero at the larger value of x from part (a)

The larger value of x from part (a) is 8

Substitute x = 8 into x²  - 4x  -  32

8² - 4(8)  -  32

=  64  -  32 - 32

=  0

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Answer:

hi

Step-by-step explanation:

Hi there! Thank you for this!

This year, there were 25% fewer sunny days than last year. That’s my question.

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If there were 25% fewer sunny days this year than last year, then there were 25% more sunny days last year than this year and the number of sunny days in the coming year is unknown.

what is the equation of the line shown?

what is the equation of a parallel line with a y-intercept of -1?​

Answers

Answer:

y = -⅓x + 1.

y = -⅓ - 1

Step-by-step explanation:

The equation of the line shown can be expressed in slope-intercept form as [tex] y = mx + b [/tex].

b = y-intercept, which is where the line intercepts the y-axis.

The line intercepts the y-axis at 1. Therefore b = 1.

m = slope = rise/run = [tex] {y_2 - y_1}{x_2 - x_1} = \frac{0 - 1}{3 - 0} = \frac{-1}{3} = -\frac{1}{3} [/tex].

Substitute b = 1 and m = -⅓ into y = mx + b to get the equation of the line shown. Thus, the equation would be:

y = -⅓x + 1.

The equation of a line with y-intercept (b) of -1 that is parallel to the line shown, would have the same slope as the line shown but different y-intercept.

Thus, the slope of the line shown is m = -⅓, this would also be the slope of the line parallel to it.

Therefore, substitute m = -⅓ and b = -1 into y = mx + b.

y = -⅓x + (-1)

y = -⅓ - 1

The equation of the line with y-intercept big -1 that is parallel to the line shown on the graph, is y = -⅓ - 1

Find the slope of the line

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Answer:

Slope= -5/3

Step-by-step explanation:

plz help me!! Polynomial Long Division (Level 2)

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Answer: 3x^2 - 2x - 3

Explanation:
I got a picture to show

You are a car salesperson and make $17.50 per hour. You are paid on a biweekly basis. Your boss encourages a competition between employees by letting you know that you will receive $100 for each new car you sell. In the first week, you work 20 hours and sell 2 cars. In the second week, you work 30 hours and sell 3 cars. How much will your pay be at the end of the these two weeks?

Answers

Answer:

Your pay at the end of the these two weeks will be $1,375

Step-by-step explanation:

In the first place, it is convenient to calculate your salary each week, and then simply add the salary for each week and obtain the fortnightly pay.

In the first week you work 20 hours and sell 2 cars. Knowing that you earn $ 17.50 per hour and you receive $ 100 for each new car that you sell, then to obtain the payment in this first week you perform the calculation:

20 hours* $17.50 per hour + 2 cars * $100 for each car= $350 + $200 = $550

In the second week you work 30 hours and sell 3 cars. Then to obtain the payment in this second week you perform the calculation:

30 hours* $17.50 per hour + 3 cars * $100 for each car= $525 + $300 = $825

Then your salary at the end of these two weeks is calculated by:

Payment of the first week + Payment of the second week

$550 + $825 = $1,375

Another way to solve this problem is, first, add the total number of hours you did during these two weeks and the number of cars sold:

hours=  number of hours in the first week + number of hours in the second week= 20 hours + 30 hours= 50 hourscars=  number of cars sold in the first week + number of cars sold in the second week= 2 cars + 3 cars= 5 cars

Then your salary at the end of these two weeks is calculated by:

50 hours* $17.50 per hour + 5 cars * $100 for each car= $525 + $300 = $1,375

Note that either way you get the same result.

Your pay at the end of the these two weeks will be $1,375

Maybe some help? pls ?!

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Answer:

Irrational

Step-by-step explanation:

Answer:

it is d irrational

Step-by-step explanation:

if x=21 then y=49. What is the value of x when y=56?

Answers

Answer:

24

Step-by-step explanation:

set them up as a fraction.

21/49=x/56

cross multiply: 21*56=49x

1176=49x

divide both sides by 49

x=24

Answer:

28

Step-by-step explanation:

notice that when x=21 thats 3x7=21  

then when y=49  thats 7x7  

so when y=56  that's 8x7

notice there is a patter of 7 being used?   there are probably a lot of other patterns that would also work.. but.  if your class is working on multiplying by 7 , then this is probably the right pattern.  

from the above pattern, then,

x=4x7 when y=56

x=28

Can someone help me create a slope story???

Answers

Answer:

I was walking home which I had to go up a hill I wanted to stop by the gas station which was a small hill upwords went back down that hill and the big hill to reach home.

Step-by-step explanation:

y axs = elavation

x axs = time

Hope that helped a little I need to do my hw but seen you needed help sorry if I did not help :(

Apply a 90 degree rotation to the point (1, 2)

Answers

Answer:

(-1,2)

Step-by-step explanation:

90 degree rotation from (a,b) is (-a,b)

What is the interest on $450 loan at 7% for 2 year

Answers

Answer:

$63

Step-by-step explanation:

here,

principle=$450

rate=7%

time=2yrs

intrest=?

now,

as, we know,

intrest=(p×t×r)÷100%

intrest=($450×7×2%)÷100%

intrest=$6300÷100

therefore, intrest=$63#

Interest on given principal rate of interest and time is $63.

What is the simple interest?

Simple interest is a method to calculate the amount of interest charged on a sum at a given rate and for a given period of time.

Simple interest is calculated with the following formula: S.I. = (P × R × T)/100, where P = Principal, R = Rate of Interest in % per annum, and T = Time.

Given that, principal =$450, rate of interest =7% and time period =2 years.

Now, simple interest = (450×7×2)/100

= 6300/100

= $63

Therefore, interest is $63.

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#SPJ2

the width of a rectangular paper is 8.5 inches,and the diagnal length is 14 inches . what is the length of the piceof paper in inches

Answers

Answer:

Step-by-step explanation:

If the sum of first 7 terms of an A.P is 49 and the sum of first 17 terms is 289 find the sum of first 30 term

Answers

Given:

Sum of first 7 terms of an AP = 49.

Sum of first 17 terms = 289

Find:

the sum of first 30 term

Solution:

We know that,

Sum of first n terms of an AP – S(n) = n/2 * [ 2a + (n - 1)d ]

Hence,

→ 7/2 * [ 2a + (7 - 1)d ] = 49

→ 2a + 6d = 49 * 2/7

→ 2( a + 3d ) = 14

→ a + 3d = 14/2

→ a + 3d = 7 -- equation (1)

Similarly,

→ 17/2 * [ 2a + 16d ] = 289

→ 17/2 * 2 * (a + 8d) = 289

→ a + 8d = 289 * 2/17 * 1/2

→ a + 8d = 17 -- equation (2)

Subtract equation (1) from (2).

→ a + 8d - (a + 3d) = 17 - 7

→ a + 8d - a - 3d = 10

→ 5d = 10

→ d = 10/5

→ d = 2

Substitute the value of d in equation (1).

→ a + 3 * 2 = 7

→ a = 7 - 6

→ a = 1

Now,

Sum of first 30 terms = 30/2 * [ 2(1) + (30 - 1)(2) ]

→ S(30) = 15 (2 + 58)

→ S(30) = 15 * 60

→ S(30) = 900

Therefore, the sum of first 30 terms of the given AP is 900.

I hope it will help you.

Regards.

answer refer in pic siso

the most points you will EVER GETTTTTT i would do more points but brainly doesn't let me

Answers

Answer:

Ah Thanks so much

Step-by-step explanation:

I am so bored by the way...

Answer:

daaslkfnsdlfknsdfnsdnfsdf

Step-by-step explanation:

Brooke purchased 16 boxes of a popular novel to sell at her bookstore. If each box weighs 29.5 pounds, what is the total weight of all of the boxes of books? A. 483.8 pounds B. 456 pounds C. 472 pounds D. 488 pounds

Answers

Answer:

C. 472

Step-by-step explanation:

16x29.5=472

у
4
3
2
1
-5 -4 -3 -2 -1 0
1
2 3
4
5
.
-2
.
4
Which point can Audrey remove?
Choose all that apply.
A (5,-2)
B (-1,3)
C (2, -1)
D (-1, -1)

Answers

Answer:

whats that.............

f(x)=(-3x+2) and g(x)=(2x^2-5x-1)

Answers

Answer: -6x² + 15x + 5

Step-by-step explanation:

To solve this problem, you only need to substitute g(x)'s equation as the value of the x in f(x), then simplify.

Step 1: f(x) = -3(2x² - 5x - 1) + 2

Step 2: Apply the distributive property

-3(2x²) + -3(-5x) + -3(-1)

-6x² + 15x + 3

Step 3: Simplify

f(x) = -6x² + 15x + 3 + 2

f(x) = -6x² + 15x + 5

HELP HAVING BAD DAY


Jackie's dad drives her to a friend's house at the speed 30 mph. The friend's mom drives her back using the same route at the speed 25 mph. If the way back takes 6 minutes longer how far away is the friend's house?

Answers

Answer:  15 miles

===========================================

Work Shown:

t = time it takes to go from Jackie's house to her friends house

distance = rate*time

d = 30*t

This represents the distance they travel if they go 30 mph

Then when going back home, they take 6 minutes longer

6 minutes = 6/60 = 0.1 hours

So they take 0.1 hours longer meaning the t updates to t+0.1

d = r*t

d = 25*(t+0.1)

d = 25t+2.5

This represents the trip back home.

Since the distance d doesn't change, we can equate the two right hand sides and solve for t

30t = 25t+2.5

30t-25t = 2.5

5t = 2.5

t = 2.5/5

t = 0.5 hours = 30 minutes

d = 30t = 30*0.5 = 15 miles

The answer is 15 miles!

Explication:
I had the same question and this was right
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